198153984000 has 1536 divisors, whose sum is σ = 824231116800. Its totient is φ = 41287680000.

The previous prime is 198153983981. The next prime is 198153984013. The reversal of 198153984000 is 489351891.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4833023980 + ... + 4833024020.

It is an arithmetic number, because the mean of its divisors is an integer number (536608800).

Almost surely, 2^198153984000 is an apocalyptic number.

198153984000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198153984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412115558400).

198153984000 is an abundant number, since it is smaller than the sum of its proper divisors (626077132800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

198153984000 is a wasteful number, since it uses less digits than its factorization.

198153984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The spelling of 198153984000 in words is "one hundred ninety-eight billion, one hundred fifty-three million, nine hundred eighty-four thousand".